Question

1 7\8 + ( - 2 3\4) =

Answer 1

1 7\8 - 2 3/4

1  7\8 - 2 6/8

-1  1/8

Answer 2

1 7/8 + (-2 3/4) = 1 7/8 - 2 3/4 = 15/8 - 11/4 = 15/8 - 22/8 = -7/8

Answer 3

To add these two mixed numbers, we need to convert them to improper fractions, add them, and then simplify the result back to a mixed number.

1 7/8 can be converted to an improper fraction by multiplying the whole number (1) by the denominator (8), and adding the numerator (7) to get 15. Then we write the result over the denominator, giving us 15/8.

-2 3/4 can be converted to an improper fraction by multiplying the whole number (-2) by the denominator (4), and adding the numerator (3) to get -5. Then we write the result over the denominator, giving us -5/4.

Now we can add the two improper fractions:

15/8 + (-5/4)

To add these fractions, we need to find a common denominator. The least common multiple of 8 and 4 is 8, so we can rewrite -5/4 with a denominator of 8:

15/8 + (-5/4) = 15/8 + (-10/8)

Now we can combine the numerators:

15/8 + (-10/8) = 5/8

Finally, we can simplify this fraction back to a mixed number. The numerator (5) is less than the denominator (8), so the fraction is proper. We can divide the numerator by the denominator to get the whole number part, which is 0, and the remainder will be the numerator of the fraction part:

5/8 = 0 5/8

Therefore, 1 7/8 + (-2 3/4) = 0 5/8.